Impact of time-retarded noise on dynamical decoupling schemes for qubits
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917913866272768 |
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| author | Nakamura, Kiyoto Ankerhold, Joachim |
| author_facet | Nakamura, Kiyoto Ankerhold, Joachim |
| contents | One of the simplest and least resource-intensive methods to suppress decoherence for qubit operations, namely, dynamical decoupling (DD), is investigated for a broad range of realistic noise sources with time-retarded feedback. By way of example, the Carr-Purcell-Meiboom-Gill (CPMG) sequence is analyzed in a numerically rigorous manner accounting also for correlations between qubits and environments. Since experimentally noise sources are characterized through spectral densities, we adopt the spin-boson model as a suitable framework to describe the qubit dynamics under DD for a given spectral density $J(ω) \propto ω^s$. Motivated by the situation for superconducting qubits, the spectral exponent $s$ is varied from $s=1$ (Ohmic bath) to a substantially small value $0 < s \ll 1$ (deep sub-Ohmic bath), in order to investigate the impact of time-nonlocal back action on DD performances for enhanced coherence times. As reference to the DD schemes, dynamics of a single qubit subject to Ramsey sequences without any pules and Hahn echo (HE) sequences are also investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15277 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Impact of time-retarded noise on dynamical decoupling schemes for qubits Nakamura, Kiyoto Ankerhold, Joachim Quantum Physics One of the simplest and least resource-intensive methods to suppress decoherence for qubit operations, namely, dynamical decoupling (DD), is investigated for a broad range of realistic noise sources with time-retarded feedback. By way of example, the Carr-Purcell-Meiboom-Gill (CPMG) sequence is analyzed in a numerically rigorous manner accounting also for correlations between qubits and environments. Since experimentally noise sources are characterized through spectral densities, we adopt the spin-boson model as a suitable framework to describe the qubit dynamics under DD for a given spectral density $J(ω) \propto ω^s$. Motivated by the situation for superconducting qubits, the spectral exponent $s$ is varied from $s=1$ (Ohmic bath) to a substantially small value $0 < s \ll 1$ (deep sub-Ohmic bath), in order to investigate the impact of time-nonlocal back action on DD performances for enhanced coherence times. As reference to the DD schemes, dynamics of a single qubit subject to Ramsey sequences without any pules and Hahn echo (HE) sequences are also investigated. |
| title | Impact of time-retarded noise on dynamical decoupling schemes for qubits |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.15277 |